This paper focuses on chaos analysis-based adaptive backstepping control of the microelectromechanical resonators. To better understand deep-rooted operational mechanism, bifurcation diagram, phase diagrams, and corresponding time histories are presented to analyze nonlinear dynamics chaotic behavior Based potential function, it can be shown that resonators undergo homoclinic heteroclinic orbits which relate closely appearance in resonator response. suppress vibration, an neural...

In this article, we investigate the issue of accelerated adaptive fuzzy optimal control three coupled fractional-order chaotic electromechanical transducers. A small network where every transducer has nearest-neighbor coupling configuration is used to form The mathematical model transducers with nearest-neighbors established and dynamical analysis reveals that its behaviors are very sensitive external excitation fractional order. controller design, recurrent nonsingleton type-2 sequential...

This article solves the problem of optimal synchronization, which is important but challenging for coupled fractional-order (FO) chaotic electromechanical devices composed mechanical and electrical oscillators electromagnetic filed by using a hierarchical neural network structure. The synchronization model FO with capacitive resistive couplings built, phase diagrams reveal that dynamic properties are closely related to sets physical parameters, coupling coefficients, FOs. To force slave...

Aimed at the synchronization issue between drive system and response of fractional-order chaotic arch micro-electro-mechanical under distributed electrostatic actuation, we propose an adaptive scheme which combines best Chebyshev neural network, extended state tracking differentiator backstepping. To compensate uncertainties time delay existing in control system, a network with weight is applied to approximate uncertain item error vector while its tuned by law online. Introducing avoids...

This article investigates the dynamical analysis, circuit design, and fuzzy prescribed performance backstepping control of fractional-order (FO) weakly coupled micro-electro-mechanical system (MEMS) resonators with an event-triggered input. The math model such MEMS by bridge-type coupling beam is constructed based on Lagrange motion equation Caputo definition. analysis reveals evolution rules a tendency dynamics involved periodic/multiperiodic state chaotic oscillation for stiffness,...

This article focuses on dynamic analysis and the fuzzy fixed-time optimal synchronization control problem of unidirectionally coupled fractional-order (FO) permanent magnet synchronous generator (PMSG) system. The model between FO master slave PMSGs with capacitive resistive couplings is built. fully reveals its abundant dynamical behaviors including chaotic oscillations gives stability/instability boundaries designed numerical method. In controller design, hierarchical type-2 neural network...

This article investigates the neuroadaptive optimal fixed-time synchronization and its circuit realization along with dynamical analysis for unidirectionally coupled fractional-order (FO) self-sustained electromechanical seismograph systems under subharmonic superharmonic oscillations. The model of FO system is established based on drive response seismic detectors. reveals this generating transient chaos homoclinic/heteroclinic test results constructed equivalent analog further testify...

This paper focuses on the problem of an adaptive neural network dynamic surface control (DSC) based disturbance observer for wheeled mobile robot with uncertain parameters and unknown disturbances. The nonlinear is used to compensate external disturbance, employed approximate items system. Then, Lyapunov theory introduced demonstrate stabilization proposed algorithm. Finally, simulation results illustrate that algorithm not only superior conventional DSC in trajectory tracking friction...

This paper is concerned with the problem of adaptive fuzzy dynamic surface control (DSC) for permanent magnet synchronous motor (PMSM) system chaotic behavior, disturbance and unknown gain parameters. Nussbaum adopted to cope situation that unknown. And items can be estimated by logic system. The proposed controller guarantees all signals in closed-loop are bounded output eventually converges a small neighborhood desired reference signal. Finally, numerical simulations indicate scheme...